Russian Academy of Sciences. Sbornik. Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Russian Academy of Sciences. Sbornik. Mathematics, 1995, Volume 82, Issue 2, Pages 373–395
DOI: https://doi.org/10.1070/SM1995v082n02ABEH003571 (Mi sm916) 		 
This article is cited in 59 scientific papers (total in 60 papers)

Asymptotic behavior of the $L^p$-norms and the entropy for general orthogonal polynomials

A. I. Aptekareva, V. S. Buyarovb, I. S. Degeza

a M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
b M. V. Lomonosov Moscow State University
English version PDF (991 kB) Citations (60) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM1995v082n02ABEH003571
Abstract: The limit behavior of the sequence of $L^p$-norms of orthogonal polynomials is studied. Orthogonal polynomials on both a finite interval and the entire real line are considered. As a corollary, asymptotic formulas for entropy integrals containing orthogonal polynomials are obtained.
Received: 20.12.1993
Bibliographic databases:
UDC: 517.53
MSC: Primary 42C05; Secondary 42C99
Language: English
Original paper language: Russian
Citation: A. I. Aptekarev, V. S. Buyarov, I. S. Degeza, “Asymptotic behavior of the $L^p$-norms and the entropy for general orthogonal polynomials”, Russian Acad. Sci. Sb. Math., 82:2 (1995), 373–395
Citation in format AMSBIB
\Bibitem{AptBuyDeg94}
\by A.~I.~Aptekarev, V.~S.~Buyarov, I.~S.~Degeza
\paper Asymptotic behavior of the~$L^p$-norms and the~entropy for general orthogonal polynomials
\jour Russian Acad. Sci. Sb. Math.
\yr 1995
\vol 82
\issue 2
\pages 373--395
\mathnet{http://mi.mathnet.ru//eng/sm916}
\crossref{https://doi.org/10.1070/SM1995v082n02ABEH003571}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1302621}
\zmath{https://zbmath.org/?q=an:0862.46014}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RV83000009}
Linking options:
  • https://www.mathnet.ru/eng/sm916
  • https://doi.org/10.1070/SM1995v082n02ABEH003571
  • https://www.mathnet.ru/eng/sm/v185/i8/p3
    • This publication is cited in the following 60 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:977
    Russian version PDF:222
    English version PDF:29
    References:70
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024